Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity

DOI10.1016/j.camwa.2018.01.012zbMath1421.35294OpenAlexW2788783837MaRDI QIDQ1999672

Xiujuan Shi, Peixin Zhang, Hai-Bo Yu

Publication date: 27 June 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.012

zbMATH Keywords

vacuumglobal strong solutionincompressible MHD equationsdensity-dependent viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (7)

Local well-posedness of strong solutions for the nonhomogeneous MHD equations with a slip boundary conditions ⋮ Global regularity of 3D nonhomogeneous incompressible magneto-micropolar system with the density-dependent viscosity ⋮ Global strong solutions to the 3D incompressible heat-conducting magnetohydrodynamic flows ⋮ Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications ⋮ Global regularity to the 2D heat-conducting MHD fluids ⋮ Global regularity of the 2D density-dependent MHD with vacuum ⋮ Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity

Cites Work

• Unnamed Item
• Unnamed Item
• Global small solutions of 2-D incompressible MHD system
• Global regularity to the 3D incompressible MHD equations
• Global well-posedness for the incompressible MHD equations with density-dependent viscosity and resistivity coefficients
• Global strong solutions to the incompressible Navier-Stokes equations with density-dependent viscosity
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows
• Global strong solution to the 2D nonhomogeneous incompressible MHD system
• Global smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with variable viscosity
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Existence of solution for a density-dependent magnetohydrodynamic equation
• Unique solvability for the density-dependent Navier-Stokes equations
• Global existence of 3D MHD equations with mixed partial dissipation and magnetic diffusion
• Remarks on a nonhomogeneous model of magnetohydrodynamics.
• Global strong solution of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
• Global well-posedness for the incompressible Navier-Stokes equations with density-dependent viscosity coefficient
• Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Inéquations en thermoélasticité et magnétohydrodynamique
• Global Strong Solution with Vacuum to the Two Dimensional Density-dependent Navier--Stokes System
• Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
• Some mathematical questions related to the mhd equations
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Global existence for the magnetohydrodynamic system in critical spaces
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
• Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
• Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
• Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System

This page was built for publication: Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity